अम्ल क्षारक एवं लवण L2

धातु की क्रिया अम्ल से करवाने पर सामान्यत: कौन से गैस निकलती है

बोरिक ऐसिड अम्ल है, क्योंकि

Let L1 and L2 be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 The point of intersection of L1 and L2 is

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

Consider the lines given by L_1: x+3y-5=0 L_2:3x-k y-1=0 L_3:5x+2y-12=0 Column I|Column II L_1,L_2,L_3 are concurrent if|p. k=-9 One of L_1,L_2,L_3 is parallel to at least one of the other two if|q. k=-6/5 L_1,L_2,L_3 form a triangle if|r. k=5/6 L_1,L_2,L_3 do not form a triangle if|s. k=5

Two planes P_1 and P_2 pass through origin. Two lines L_1 and L_2 also passingthrough origin are such that L_1 lies on P_1 but not on P_2, L_2 lies on P_2 but not on P_1 A,B, C are there points other than origin, then prove that the permutation [A', B', C'] of [A, B, C] exists. Such that: (a) A lies on L1, B lies on P1 not on L1, C does not lie on P1 . (b) A lies on L2, B lies on P2 not on L2, C' does not lies on P2.

theta_1 and theta_2 are the inclination of lines L_1 and L_2 with the x-axis. If L_1 and L_2 pass through P(x_1,y_1) , then the equation of one of the angle bisector of these lines is

ABCD is a square of length a, a in N , a > 1. Let L_1, L_2 , L_3... be points on BC such that BL_1 = L_1 L_2 = L_2 L_3 = .... 1 and M_1,M_2 , M_3,.... be points on CD such that CM_1 = M_1M_2= M_2 M_3=... = 1 . Then sum_(n = 1)^(a-1) ((AL_n)^2 + (L_n M_n)^2) is equal to :

If the lines L_1 and L_2 are tangents to 4x^2-4x-24 y+49=0 and are normals for x^2+y^2=72 , then find the slopes of L_1 and L_2dot